Convert 55/12 into a mixed number.
Understand the Problem
The question is asking how to convert the improper fraction 55/12 into a mixed number, which involves dividing the numerator by the denominator and expressing the result in terms of a whole number and a proper fraction.
Answer
$ 4 \frac{7}{12} $
Answer for screen readers
The mixed number form of the improper fraction $ \frac{55}{12} $ is $ 4 \frac{7}{12} $.
Steps to Solve
- Divide the Numerator by the Denominator
To convert the improper fraction $ \frac{55}{12} $ into a mixed number, we start by dividing the numerator (55) by the denominator (12).
Calculate: $$ 55 \div 12 = 4.5833... $$
The whole number part is 4.
- Find the Remainder
Next, we need to find the remainder of this division. We can do this by multiplying the whole number part we found by the denominator and subtracting from the numerator:
Calculate the whole part multiplied by the denominator: $$ 4 \times 12 = 48 $$
Now subtract from the numerator: $$ 55 - 48 = 7 $$
So, the remainder is 7.
- Form the Mixed Number
Now we can write the mixed number using the whole number and the remainder over the original denominator:
Combine the whole number part and the proper fraction: $$ 4 \frac{7}{12} $$
Thus, the improper fraction $ \frac{55}{12} $ can be expressed as the mixed number $ 4 \frac{7}{12} $.
The mixed number form of the improper fraction $ \frac{55}{12} $ is $ 4 \frac{7}{12} $.
More Information
Converting an improper fraction to a mixed number helps clarify the quantity represented by the fraction. Mixed numbers are often easier to work with in everyday situations, such as cooking and craft calculations.
Tips
- Forgetting to find the remainder after dividing. This is crucial for forming the proper fraction.
- Misaligning the fraction notation when expressing the mixed number. Ensure you write it correctly as a whole number followed by the proper fraction.